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25 May 2016, 04:53
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D
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At a company, the average wage of male employees is $9.97 per hour, and the average wage of female employees is $10.37 per hour. If the average wage of all employees is $10.12 per hour, what is the ratio of the number of male employees to the number of female employees?
A) 1 to 2
B) 2 to 3
C) 3 to 2
D) 5 to 3
E) 2 to 1
A) 1 to 2
B) 2 to 3
C) 3 to 2
D) 5 to 3
E) 2 to 1
25 May 2016, 05:14
Kudos
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Average hourly wage of male employees = 9.97 $
Average hourly wage of female employees = 10.37 $
Average hourly wage of all employees = 10.12 $
Let number of male employees = m
number of female employees = f
10.12 = (9.97m + 10.37f ) / m+f
=>10.12m + 10.12f = 9.97m + 10.37f
=> .15m = .25f
=> m/f = .25/.15 = 5/3
Answer D
Alternatively ,
9.97 --- 10.12 ----- 10.37
The overall average is .15 more than male average and .25 lesser than female average
so the ratio of distances is 3:5
Number of employees will be in inverse proportion - 5:3
Answer D
Average hourly wage of female employees = 10.37 $
Average hourly wage of all employees = 10.12 $
Let number of male employees = m
number of female employees = f
10.12 = (9.97m + 10.37f ) / m+f
=>10.12m + 10.12f = 9.97m + 10.37f
=> .15m = .25f
=> m/f = .25/.15 = 5/3
Answer D
Alternatively ,
9.97 --- 10.12 ----- 10.37
The overall average is .15 more than male average and .25 lesser than female average
so the ratio of distances is 3:5
Number of employees will be in inverse proportion - 5:3
Answer D
25 May 2016, 08:19
Kudos
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Bunuel
At a company, the average wage of male employees is $9.97 per hour, and the average wage of female employees is $10.37 per hour. If the average wage of all employees is $10.12 per hour, what is the ratio of the number of male employees to the number of female employees?
A) 1 to 2
B) 2 to 3
C) 3 to 2
D) 5 to 3
E) 2 to 1
A) 1 to 2
B) 2 to 3
C) 3 to 2
D) 5 to 3
E) 2 to 1
Remove decimal point and check the answer options
A) 1 to 2
997 *1 + 1037*2 = 3071/3 => 1,023.67
B) 2 to 3
997 *2 + 1037*3 = 5,105/3 => 1,701.67
C) 3 to 2
997 *2 + 1037*3 = 6,102/5 => 1,220.4
D) 5 to 3
997 *5 + 1037*3 = 8096/8 => 1,012.00
E) 2 to 1
997 *2 + 1037*1 = 3,031/3 => 1,010.33
So, Answer will be (D)
